Publications

On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient, (joint work with Prof. Narasimha Kumar), Canad. Math. Bull. 66 (2023), no. 2, 587–598 [Journal link].
On the solutions of x^p+y^p=2^rz^p, x^p+y^p =z^2 over totally real fields (joint work with Prof. Narasimha Kumar), Acta Arithmetica 212 (2024), no. 1, 31–47 [Journal link].
On the solutions of x^2=By^p+Cz^p, 2x^2=By^p+Cz^p over totally real fields (joint work with Prof. Narasimha Kumar), Ramanujan J. 65 (2024), no. 1, 27–43 [Journal link].
Lehmer-type bounds and counting rational points of bounded heights on Abelian varieties (joint work with Prof. Narasimha Kumar), Int. J. Number Theory 20 (2024), no. 8, 2125–2138 [Journal link].
Asymptotic solutions of the generalized Fermat-type equation of signature (p,p,3) over totally real number fields (joint work with Prof. Narasimha Kumar), Journal of Number Theory 274 (2025), 56-71 [Journal link].
Asymptotic Fermat equation of signature (r,r,p) over totally real fields (joint work with Dr. Somnath Jha), Ramanujan J. 68 (2025), no. 1, 30 [Journal link].

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